document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137659>Question 1137659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units. <BR>\n" );
document.write( "a) How high off the ground will the skeet be when it is hit?<BR>\n" );
document.write( "b) After how many seconds will the skeet be hit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755552 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the intersection of the 2 equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+g%28t%29+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+g%28t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4.9t%5E2+%2B+32t+%2B+2+=+28.5t+%2B+1+ ALIGN=MIDDLE  ALT=\"+-4.9t%5E2+%2B+32t+%2B+2+=+28.5t+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4.9t%5E2+%2B+3.5t+%2B+1+=+0+ ALIGN=MIDDLE  ALT=\"+-4.9t%5E2+%2B+3.5t+%2B+1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-3.5+%2B-+sqrt%28+3.5%5E2-4%2A%28-4.9%29%2A1+%29%29%2F%282%2A%28-4.9%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-3.5+%2B-+sqrt%28+3.5%5E2-4%2A%28-4.9%29%2A1+%29%29%2F%282%2A%28-4.9%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-3.5+%2B-+sqrt%28+31.85+%29%29%2F%28-9.8%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-3.5+%2B-+sqrt%28+31.85+%29%29%2F%28-9.8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-3.5+-+5.64358+%29%2F%28-9.8%29+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-3.5+-+5.64358+%29%2F%28-9.8%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+9.1436%2F9.8+ ALIGN=MIDDLE  ALT=\"+t+=+9.1436%2F9.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.933+ ALIGN=MIDDLE  ALT=\"+t+=+.933+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28.933%29+=+28.5%2A.933+%2B+1+ ALIGN=MIDDLE  ALT=\"+g%28.933%29+=+28.5%2A.933+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28+.933+%29+=+26.591+ ALIGN=MIDDLE  ALT=\"+g%28+.933+%29+=+26.591+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "The pellet is 26.591 m off the ground when it is hit<BR>\n" );
document.write( "It is hit .933 sec after firing<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+400%2C+-1%2C+4%2C+-6%2C+60%2C+-4.9x%5E2+%2B+32x+%2B+2%2C+28.5x+%2B+1++%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+400%2C+-1%2C+4%2C+-6%2C+60%2C+-4.9x%5E2+%2B+32x+%2B+2%2C+28.5x+%2B+1++%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks about right </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );